Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

A law firm has eight male and six female lawyers. A committee of five, two male lawyers and three female lawyers, is to be chosen to represent the firm at a conference. How many committees are possible?

Sagot :

mumsy
The number of way we can choose 2 males out of 8 is combinations of:

C(8,2)=7*8/2 =56/(1*2)=28 
to choose 3 females out of 6
C(6,3)=6*5*4/(1*2*3)=120/6=20
the number of committees is=  28*20=560